Volume no :8, Issue no: 2, June (2018)

International Journal of Applied Mathematics and Machine Learning

THE BOLTZMANN EQUATION WITH POTENTIAL FORCES FOR INVERSE POWER LAW

Author's: Zengming Li, Xuan Ma and Wan Zhang
Pages: [63] - [90]
Received Date: May 8, 2018
Submitted by: Jianqiang Gao.
DOI: http://dx.doi.org/10.18642/ijamml_7100121965

Abstract

We are concerned with the Cauchy problem of the non-cutoff Boltzmann equation with potential forces for inverse power law. The global existence of solutions with symmetric of origin and the exponential convergence rate in time to the steady state are obtained for any initially smooth, periodic, origin symmetric small perturbation.

Keywords

velocity weight, symmetric perturbation, convergence rate, non-cutoff.